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2 years ago

Which of the following is a true proportion of the figure based on the triangle

Mathematics

1 answer:

Anni [7]2 years ago

4 0

Based on the triangle proportionality theorem, the true proportion is h/j=k/i

<h3>How to solve for the true proportion</h3>

In the diagram that we have here, we have TU to be parallel to QR.

We have following

ST is equal to h, TQ is equal to j, SU is equal to k and UR is equal to i.

This can then be used to form the equation

ST/TQ = SU/UR

When we h/j = k/i

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If triangle ABC is similar to triangle PQR, find the value of x and y.

tester [92]

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

$\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}$

$\frac{6}{x}= \frac{4}{y}= \frac{8}{12}$

$\frac{6}{x}= \frac{8}{12}$

x = $\frac{12\times 6}{8}$

x = 9

Similarly, $\frac{4}{y}= \frac{8}{12}$

y = $\frac{12\times 4}{8}$

y = 6

6 0

3 years ago

The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of

stiks02 [169]

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

$V = kl$

Putting V = 325 and l = 13

$325 =k(13)\\k = \frac{325}{13}\\k = 25$

Hence,

The constant of proportionality for the group of boxes is: 25

5 0

3 years ago

Find the measure of the missing side. Round your answer to the nearest tenth. (PYTHAGOREAN THEOREM)

Burka [1]

Answer:

Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, $a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

$2^{2}+5^{2}=c^{2}$

This simplifies to $29=c^{2}$ . Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:

$\sqrt{29} =\sqrt{c^{2}}$

This simplifies to c≈5.4 in.

7 0

3 years ago

Help I don’t know the steps

Korvikt [17]

Answer:

down below

Step-by-step explanation:

straight lines are 180 degrees and you have 2 angles on a line. one of which is 72 and the other is unknown. It is solved for below.

$180=72+x\\180-72=72+x-72\\108=x$

your missing degree is 108.

i may not be right, if i'm not i am very sorry.

7 0

3 years ago

Rick buys and sells antiques via the Internet. So far, he has profited $2,502. Based on his profits to date, he developed the fo

kow [346]

Answer:

d. An additional month of buying and selling is associated with an additional $417 in profits.

Step-by-step explanation:

We have general form of intercept form of equation:

y = m*x + c ----- (A)

Given equation is : y = 2502 + 417*x

Rewrite equation: y = 417*x + 2502 ------(B)

comparing equation (B) with equation (A), we get

m = 417 (additional benefits per month) because multiplied factor x is the month.

6 0

3 years ago